On the Constant in a Transference Inequality for the Vector-valued Fourier Transform
Journal Article
(2016)
Author(s)
D.C. Gijswijt (TU Delft - Discrete Mathematics and Optimization)
JMAM Van Neerven (TU Delft - Analysis)
Research Group
Discrete Mathematics and Optimization
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Publication Year
2016
Language
English
Research Group
Discrete Mathematics and Optimization
Issue number
1
Volume number
13
Pages (from-to)
1-11
Abstract
The standard proof of the equivalence of Fourier type on Rd and on the torus Td is usually stated in terms of an implicit constant, defined as the minimum of a sum of powers of sinc functions. In this note we compute this minimum explicitly.
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